Pith Number

pith:MVTDJKMB

pith:2025:MVTDJKMB6XVGPI7J5RZRCP6QD4

not attested not anchored not stored refs pending

Cyclic sieving phenomena for trees and tree-rooted maps

Christian Krattenthaler, Mireille Bousquet-M\'elou

arxiv:2512.18656 v3 · 2025-12-21 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVTDJKMB6XVGPI7J5RZRCP6QD4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-19T16:09:53.305364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

656634a981f5ea67a3e9ec73113fd01f015e2384f740b91aef47faea4e7a56a2

Aliases

arxiv: 2512.18656 · arxiv_version: 2512.18656v3 · doi: 10.48550/arxiv.2512.18656 · pith_short_12: MVTDJKMB6XVG · pith_short_16: MVTDJKMB6XVGPI7J · pith_short_8: MVTDJKMB

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MVTDJKMB6XVGPI7J5RZRCP6QD4 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 656634a981f5ea67a3e9ec73113fd01f015e2384f740b91aef47faea4e7a56a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de13c2c7403078f9207cd37d82d9c99cb07306ed0af0c31c0976873fcc4ee83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-12-21T09:06:27Z",
    "title_canon_sha256": "c1ad0b710b0c3dc43d9ca8dc9947938dcb71a3f4c28d6cf52ee094ce6599ebfd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.18656",
    "kind": "arxiv",
    "version": 3
  }
}